27091316268 has 384 divisors, whose sum is σ = 78962688000. Its totient is φ = 8003888640.

The previous prime is 27091316267. The next prime is 27091316293. The reversal of 27091316268 is 86261319072.

27091316268 is a `hidden beast` number, since 2 + 7 + 0 + 9 + 13 + 1 + 626 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (27091316267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 304396768 + ... + 304396856.

It is an arithmetic number, because the mean of its divisors is an integer number (205632000).

Almost surely, 2^27091316268 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27091316268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39481344000).

27091316268 is an abundant number, since it is smaller than the sum of its proper divisors (51871371732).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27091316268 is a wasteful number, since it uses less digits than its factorization.

27091316268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 27091316268 in words is "twenty-seven billion, ninety-one million, three hundred sixteen thousand, two hundred sixty-eight".